Answer:
R = 7,87N to the left at 82,26° above the horizontal
Explanation:
Graph1: situation drawing (attached image)
Graph2: Resulting from the forces on the x '- y' axes (attached image)
Fx' = (12 - 8,4)N = 3,6N to the right at 35° above the horizontal
Fy' = (31 - 24)N = 7N to the left at 55° above the horizontal
Graph 3: Resulting vector of forces (R) on x-y coordinate axes (attached image)
R = Rx i + Ry j
Rx = 3,6Cos(35°) - 7Cos(55°) = -1,06N
Rx = 3,6Sin(35°) + 7Sin(55°) = 7,8N
R = (1,06 -i + 7,8 j ) N
Magnitude of R:
to the left above the horizontal.